Question

Which equation is equivalent to 10/2-

iA) 2-6i
B) 2+6i
C) 3-3i
D) 3+3

Answer 1

The given expression
`\( (10)/(2) - \)`simplifies to ( 5 - ). None of the provided options (A, B, C, D) are equivalent to this expression.

Step-by-step explanation:

The given expression is
`\( (10)/(2) - \)`. To simplify this expression, we first perform the division:

`\[ (10)/(2) - = 5 - \]`

Now, we have ( 5 - ). This means the real part of the complex number is 5, and there is no imaginary part.

Now, let's examine the provided options:

A) ( 2 - 6i) - This option has a real part of 2 and an imaginary part of -6. It is not equivalent to the simplified expression.

B) ( 2 + 6i ) - This option has a real part of 2 and an imaginary part of 6. It is not equivalent.

C) ( 3 - 3i ) - This option has a real part of 3 and an imaginary part of -3. It is not equivalent.

D)
`\( 3 + 3 \)` - This option has a real part of 3 and no imaginary part. However, the real part is not the same as the simplified expression.

In conclusion, none of the provided options match the simplified expression
`\( 5 - \)`. It's possible there might be a mistake in the question or the answer choices. Double-checking the original expression or consulting the source of the problem could help clarify any discrepancies.